Question

find xy.
write your answer as an integer or as a decimal rounded to the nearest tenth.
xy =
submit

Explanation:

Step1: Identify trigonometric ratio

We use sine: $\sin(\theta)=\frac{\text{opposite}}{\text{hypotenuse}}$

Step2: Substitute known values

$\sin(34^\circ)=\frac{2}{XY}$

Step3: Rearrange to solve for XY

$XY=\frac{2}{\sin(34^\circ)}$

Step4: Calculate the value

$\sin(34^\circ)\approx0.5592$, so $XY\approx\frac{2}{0.5592}\approx3.6$

Answer:

3.6